Question

Jameson is following a 3- kilometer exercise route. After every 1/5 kilometer there is a sign describing an exercise to do, including at the end of the route. Which expression can be used to find the number of exercise signs along the route?

Answer 1

Hello!

The answers are:

A.
`TotalSigns=(3)/((1)/(5))`

and

C.
`TotalSigns=3*5`

Why?

From the statement we know that there is a sign every 1/5 km, it means that there will be a total of 5 sign for each entire km.

Then, we can calculate how many signs along the route exists in two ways:

First way:

Dividing the route distance into the sign distribution:

`TotalSigns=(3)/((1)/(5)) =3*(5)/(1)=15`

Second way:

Calculating how many signs exists per one (1) Km and then, multiply it by 3:

From the statement we know that there is a sign every 1/5 km, so there will be 5 signs every 1 km.

`TotalSigns=3*5=15`

Hence,

Using both ways we can conclude that there is a total of 15 signs along the route.

Have a nice day!